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LCM of 591, 788, 590, 700, 202

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 591, 788, 590, 700, 202 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 591, 788, 590, 700, 202. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 591,788,590,700,202

Given numbers are 591,788,590,700,202

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 591,788,590,700,202 is 2465238300.

Find LCM of 591,788,590,700,202 with Prime Factorization


2 591, 788, 590, 700, 202
2 591, 394, 295, 350, 101
5 591, 197, 295, 175, 101
197 591, 197, 59, 35, 101
3, 1, 59, 35, 101

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 5 x 197 x 3 x 1 x 59 x 35 x 101 = 2465238300

Therefore, the lowest common multiple of 591,788,590,700,202 is 2465238300.

LCM Formula to Find Lowest Common Multiple of 591,788,590,700,202

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

591 x 788 x 590 x 700 x 202 = 38852155608000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

591 : 1, 3, 197, 591

788 : 1, 2, 4, 197, 394, 788

590 : 1, 2, 5, 10, 59, 118, 295, 590

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,788,590,700,202, is 1.

Now, the common factors can be found like this.

591:3x 197

788:2x 2x 197

590:2x 5x 59

700:2x 2x 5x 5x 7

202:2x 101

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 5x 197 = 15760

Therefore, the value for common factors is 15760.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 38852155608000/(1x15760)

LCM = 38852155608000/15760

LCM = 2465238300

Thus, we can understand that the LCM of 591,788,590,700,202 is 2465238300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 591, 788, 590, 700, 202

1. What is the LCM of 591, 788, 590, 700, 202?

Answer: LCM of 591, 788, 590, 700, 202 is 2465238300.

2. How to calculate the LCM of 591, 788, 590, 700, 202?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 591, 788, 590, 700, 202.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.